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Finding the Third Proportional to 149,574,564 and 229,764,838

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Solution

The third proportional to 149,574,564 and 229,764,838 is: 352,946,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,564 : 229,764,838 = 229,764,838 : x
  2. Step 2: Convert to fraction form
    149,574,564/229,764,838 = 229,764,838/x
  3. Step 3: Cross multiply
    149,574,564x = 229,764,838 × 229,764,838
  4. Step 4: Simplify right side
    149,574,564x = 52,791,880,781,166,240
  5. Step 5: Solve for x
    x = 52,791,880,781,166,240/149,574,564
  6. Step 6: Final answer
    x = 352,946,914.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.